On accelerated flows of an Oldroyd-B fluid in a porous medium |
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Authors: | M Husain T Hayat C Fetecau S Asghar |
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Institution: | aDepartment of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;bDepartment of Mathematics, Technical University of Iasi, R-6600 Iasi, Romania;cDepartment of Mathematics, COMSATS Institute of Information Technology H-8, Islamabad 44000, Pakistan |
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Abstract: | In this work, the problems dealing with unsteady unidirectional flows of an Oldroyd-B fluid in a porous medium are investigated. By using modified Darcy's law of an Oldroyd-B fluid, the equations governing the flow are modelled. Employing Fourier sine transform, the analytic solutions of the modelled equations are developed for the following two problems: (i) constant accelerated flow, (ii) variable accelerated flow. Explicit expressions for the velocity field and adequate tangential stress are obtained in each case. The solutions for Newtonian, second grade and Maxwell fluids in a porous medium appear as the limiting cases of the present analysis. |
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Keywords: | Accelerated flows Modified Darcy's law Exact solutions |
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